Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

337×

body

valid

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 1 expressions with local error:

3.7b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ x y) (- z t) t)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (/ x y) (- z t) t)

simplify801.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	91	138
3	263	123
4	1131	123
done	5001	123

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ x y) (- z t) t))
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (fma (/ x y) (- z t) t))
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series411.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (fma (/ x y) (- z t) t))
34.0ms	(fma (/ x y) (- z t) t)
38.0ms	(fma (/ x y) (- z t) t)
48.0ms	(fma (/ x y) (- z t) t)

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	60	683
1	118	678
2	284	611
3	922	559
4	3639	546
done	5000	546

prune226.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.7b

localize27.0ms

Local error

Found 4 expressions with local error:

3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series161.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (/ x y) (- z t) t)
41.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)
42.0ms	(fma (/ x y) (- z t) t)

simplify886.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	91	552
3	263	492
4	1131	492
done	5001	492

prune267.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

localize39.0ms

Local error

Found 4 expressions with local error:

3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)
3.7b	(fma (/ x y) (- z t) t)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series155.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)
35.0ms	(fma (/ x y) (- z t) t)
51.0ms	(fma (/ x y) (- z t) t)

simplify874.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	91	552
3	263	492
4	1131	492
done	5001	492

prune294.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.7b

regimes261.0ms

Accuracy

0% (0.1b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

515.0ms

10691×

body

valid